A.S. Shukurov
Some probabilistic characteristics of one random process in reliability theory

A semi-Markov process with discrete intervention of events with one screen is investigated, which describes the behavior of a technical system with partial resource renewal. Asymptotic formulas are found for the mathematical expectation and variance of the first moment of a semi-Markov process entering the zero state.

Keywords: Semi-Markov process, Partial renewal, Renewal rate, Asymptotic methods, Stochastic model